Extensions 1→N→G→Q→1 with N=C₃⋊S₃ and Q=Dic₆

Direct product G=N×Q with N=C₃⋊S₃ and Q=Dic₆

		d	ρ	Label	ID
C₃⋊S₃×Dic₆		144		C3:S3xDic6	432,663

Semidirect products G=N:Q with N=C₃⋊S₃ and Q=Dic₆

extension	φ:Q→Out N	d	ρ	Label	ID
C₃⋊S₃⋊Dic₆ = C₃⋊S₃⋊Dic₆	φ: Dic₆/C₄ → S₃ ⊆ Out C₃⋊S₃	72	12-	C3:S3:Dic6	432,294
C₃⋊S₃⋊₂Dic₆ = C₂×C₃³⋊Q₈	φ: Dic₆/C₆ → C₂² ⊆ Out C₃⋊S₃	48	8	C3:S3:2Dic6	432,758
C₃⋊S₃⋊₃Dic₆ = C₃³⋊₅(C₂×Q₈)	φ: Dic₆/Dic₃ → C₂ ⊆ Out C₃⋊S₃	48	8-	C3:S3:3Dic6	432,604
C₃⋊S₃⋊₄Dic₆ = C₃⋊S₃⋊₄Dic₆	φ: Dic₆/C₁₂ → C₂ ⊆ Out C₃⋊S₃	48	4	C3:S3:4Dic6	432,687

Non-split extensions G=N.Q with N=C₃⋊S₃ and Q=Dic₆

extension	φ:Q→Out N	d	ρ	Label	ID
C₃⋊S₃.₁Dic₆ = C₃³⋊C₄⋊C₄	φ: Dic₆/C₆ → C₂² ⊆ Out C₃⋊S₃	48	4	C3:S3.1Dic6	432,581
C₃⋊S₃.₂Dic₆ = (C₃×C₆).₉D₁₂	φ: Dic₆/C₆ → C₂² ⊆ Out C₃⋊S₃	48	8-	C3:S3.2Dic6	432,587
C₃⋊S₃.₃Dic₆ = C₃³⋊(C₄⋊C₄)	φ: Dic₆/Dic₃ → C₂ ⊆ Out C₃⋊S₃	48	8-	C3:S3.3Dic6	432,569
C₃⋊S₃.₄Dic₆ = C₃³⋊₉(C₄⋊C₄)	φ: Dic₆/C₁₂ → C₂ ⊆ Out C₃⋊S₃	48	4	C3:S3.4Dic6	432,638

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